Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2017 -> Volume 9, Issue 3, September
The Fixed Point Property for Intuitionistic Fuzzy Lattices
The Fixed Point Property for Intuitionistic Fuzzy Lattices
Journal from gdlhub / 2017-12-19 09:24:36By : Lemnaouar Zedam, Soheyb Milles, Ewa Rak, Fuzzy Information and Engineering
Created : 2017-12-19, with 1 files
Keyword : Atanassovs intuitionistic fuzzy setIntuitionistic fuzzy relationIntuitionistic fuzzy latticeFixed point property
Url : http://www.sciencedirect.com/science/article/pii/S1616865817302327
Document Source : WEB
In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings
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